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Finding the Fourth Proportional to 100,415.26, 150,517.78 and 33,832.38

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Solution

The fourth proportional to 100,415.26, 150,517.78 and 33,832.38 is: 50,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415.26 : 150,517.78 = 33,832.38 : x
  2. Step 2: Convert to fraction form
    100,415.26/150,517.78 = 33,832.38/x
  3. Step 3: Cross multiply
    100,415.26x = 150,517.78 × 33,832.38
  4. Step 4: Simplify right side
    100,415.26x = 5,092,375,209.58
  5. Step 5: Solve for x
    x = 5,092,375,209.58/100,415.26
  6. Step 6: Final answer
    x = 50,713.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.